30 terms

# Grade 8: Module 2: Exponents and Scientific Notation

#### Terms in this set (...)

base
In exponential notation, the number or variable that undergoes repeated multiplication. In the diagram, the "a" is the _?_.
exponent
In exponential notation, the number of times the base is used as a factor. In the diagram, the "m" is the _?_.
integers
The numbers ... -3, -2, -1, 0, 1, 2, 3 ... .
positive number
A number greater than zero.
standard notation
A way to write numbers by using digits. Example: 254 = 2 hundred fifty-four.
power
An expression in the form depicted below or the value of such an expression. Example: 2 to the fourth power = 16.
rational number
A number that can be written as the quotient of two integers.
real numbers
The set of _?_ numbers consisting of the positive numbers, the negative numbers, and zero. The _?_ numbers can be thought of as the set of all decimals, finite or infinite in length.
scientific notation
A method of writing very large or very small numbers by using powers of 10.
whole number
The positive integers together with zero. Example: 0, 1, 2, 3, 4 ... .
Zero Exponent Property
A nonzero number to the zero power is 1.
Negative Exponent Property
What property is depicted below?
Product of Powers Property
To multiply powers that have the same base, add the exponents.
Quotient of Powers Property
To divide powers that have the same base, subtract the exponents.
Power of a Product Property
To find a power of a _?_, find the power of each factor and multiply.
Power of a Power Property
To find a _?_ of a _?_, multiply the exponents.
Power of a Quotient Property
To find a power of a _?_, find the power of the numerator and the power of the denominator and divide.
Zero
Solve:
1
Solve:
- 1
Solve:
Negative One
The order in which two numbers are added does not change the sum.
Commutative Property of Multiplication
The order in which two numbers are multiplied does not change the product.